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Finding the Third Proportional to 885,978 and 1,328,678.44

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Solution

The third proportional to 885,978 and 1,328,678.44 is: 1,992,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,978 : 1,328,678.44 = 1,328,678.44 : x
  2. Step 2: Convert to fraction form
    885,978/1,328,678.44 = 1,328,678.44/x
  3. Step 3: Cross multiply
    885,978x = 1,328,678.44 × 1,328,678.44
  4. Step 4: Simplify right side
    885,978x = 1,765,386,390,277.44
  5. Step 5: Solve for x
    x = 1,765,386,390,277.44/885,978
  6. Step 6: Final answer
    x = 1,992,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.